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Question

limxcos(x+1)cos(x)

A
0
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B
1
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C
Do not exist
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D
78
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Solution

The correct option is A 0
formula:

cosxcosy=2sin(xy2)sin(x+y2)

then

limxcosx+1cosx

=limxsin(x+1x2)

=limxsin(12(x+1+x))

=0

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